Question

Consider a frame that is made up of two thin massless rods AB and AC as shown in the figure. A vertical force $\overrightarrow{P}$ of magnitude $100\text{N}$ is applied at point A of the frame.

Suppose the force $\overrightarrow{P}$ resolved parallel to the arms AB and AC of the frame. The magnitude of the resolved component along the arm AC is $x\text{N}$. The value of $x$, to the nearest integer, is .
[Given: sin (35°) = 0.573, cos (35°) = 0.819, sin (110°) = 0.939, cos (110°) = -0.342]

Answer 1

Component along AC$=100\cos {35}^{\circ }\text{N}$
$=100\times 0.819\text{N}=81.9\text{N}$
$\approx 82\text{N}$
$\therefore 82$ is the required value.